Answer :
To find the equation that models the total amount of reimbursement the company offers, we need to understand the components that contribute to the total reimbursement:
1. Mileage Reimbursement: The company reimburses at a rate of [tex]$0.45 per mile driven. If we let \( x \) represent the number of miles, then the mileage reimbursement part of the total is \( 0.45 \times x \).
2. Annual Maintenance Reimbursement: Regardless of the number of miles driven, the company provides a fixed annual maintenance reimbursement of $[/tex]175.
To formulate the equation for the total amount of reimbursement, [tex]\( C \)[/tex], we add the mileage reimbursement to the annual maintenance reimbursement:
[tex]\[ C = 0.45x + 175 \][/tex]
This equation represents the total reimbursement [tex]\( C \)[/tex] based on the number of miles driven ([tex]\( x \)[/tex]) and the fixed annual maintenance amount.
Therefore, the correct choice is:
C. [tex]\( c = 0.45x + 175 \)[/tex]
1. Mileage Reimbursement: The company reimburses at a rate of [tex]$0.45 per mile driven. If we let \( x \) represent the number of miles, then the mileage reimbursement part of the total is \( 0.45 \times x \).
2. Annual Maintenance Reimbursement: Regardless of the number of miles driven, the company provides a fixed annual maintenance reimbursement of $[/tex]175.
To formulate the equation for the total amount of reimbursement, [tex]\( C \)[/tex], we add the mileage reimbursement to the annual maintenance reimbursement:
[tex]\[ C = 0.45x + 175 \][/tex]
This equation represents the total reimbursement [tex]\( C \)[/tex] based on the number of miles driven ([tex]\( x \)[/tex]) and the fixed annual maintenance amount.
Therefore, the correct choice is:
C. [tex]\( c = 0.45x + 175 \)[/tex]
